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Solving binary operations

Last updated 12 months ago

10 questions

Instructions

Solve the following questions on binary equations

1 point

1

Question 1

1.

In binary Operations symbols are used to

A. represent operations

B. represent addition, subtraction, multiplication or division

C. represent numbers

D. a single operation

1 point

1

Question 2

2.

If m * n = n - (m+2) for any real number m and n find the value of 3*(-5)?

A. -6

B. -8

C. -10

D. -12

1 point

1

Question 3

3.

A. 9

B. 88

C. 98

D. 99

1 point

1

Question 4

4.

Let ‘*’ be a binary operation defined by a*b=3ab+5. Find 8*3

A. 1547

B. 1458

C. 1448

D. 1541

1 point

1

Question 5

5.

Which of the following is not a property of binary operation?

A. Transitive

B. Commutative

C. Associative

D. Distributive

1 point

1

Question 6

6.

Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if ________

A. a*b=b*a

B. (a*b)*c=a*(b*c)

C. (b ο c)*a=(b*a) ο (c*a)

D. a*b=a

1 point

1

Question 7

7.

If a*b=6a4-9b4 be a binary operation on real numbers R, then * is commutative.

A. True

B. False

1 point

1

Question 8

8.

Let ‘*’ and ‘^’ be two binary operations such that a*b=a2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).

A. 256

B. 286

C. 276

D. 275

1 point

1

Question 9

9.

Which of the following is an associative binary equation?

A. a ∗ b = b ∗ a

B. (a ♠ b) ♠ c = a ♠ (b ♠ c)

C. a ♠ b ♠ c = c ♠ b ♠ a

D. a ∗ b = a ∗ b

1 point

1

Question 10

10.

If * is a binary operation on A={1,2,3,4,5} given by the table shown below. Is the operation * closed under A? 

A. Yes

B. No